Global Media Ltd., organizer of an 11-hour antidrug concert called "The Concert That Counts," said yesterday it has withdrawn its request that the first lady participate. Concert promoter Tony Verna said the White House staff had attempted to eliminate certain entertainers. "We respect Mrs. Reagan's concern," Verna said, "but there will be no, I repeat, no prior censorship from the White House. Any attempt to sanitize the concert would have left a smell of disinfectant."

There had been considerable publicity from the organizers that Mrs. Reagan would lend her support. But the White House said yesterday the first lady was never going to attend. Concert organizers, who still haven't found a location for the massive event, estimate the concert could reach 2 billion people in 150 countries.

The April 26 telethon, which was designed to raise consciousness but not money, according to the organizers, ran into problems with the White House over concern about groups that had offensive lyrics in previously recorded songs.

Elaine Crispen, the first lady's press secretary, said Mrs. Reagan was never going to attend the concert because she will be on a trip to Japan with the president on April 26. There was discussion of her appearing at the concert on a prerecorded videotape. Crispen didn't know about requests to eliminate certain rock groups or performers, but said, "I'm sure we wouldn't want to be involved with a group identified with drugs." And as for Mrs. Reagan being out of the concert, Crispen asked, "How can you be out when you were never in?" A Capitol Idea for Art

Once when the irrepressible Sen. Hubert Humphrey was bouncing through the corriders of the the Russell Senate Office Building, giving a running dialogue to aides desperately attempting to keep up, he turned his attention to all the wasted empty wall space on Capitol Hill. That space, he said, could be well used to hang art from the states. Congressional offices generally contain little more artistic than autographed photographs of other politicians.

Rep. Ed Markey, however, unaware of Humphrey's interest, has packed his political pictures away and turned his office into an art gallery. Markey had been back home in Boston talking with artists who told him that development and rising real estate prices were driving them out of their studios and galleries. So last October, Markey turned his suite of offices in the Rayburn building into an exhibit space for Massachusetts painters, sculptors and print makers. The show was such a success that the Markey Gallery is having a champagne and cheese reception tonight in his office to introduce the latest show: a Massachusetts photography exhibit. Markey said his office is not as crowded as the East Building of the National Gallery, but that a number of people do come and even wander through his private office when he isn't using it. And never has congressional office space been so well used. The Tax Man on Broadway

Last May when "Execution of Justice," the Emily Mann play about the murder of San Francisco Mayor George Moscone and Supervisor Harvey Milk, was being performed at Arena Stage, Mortimer Caplin went to see it with Lester Osterman, his University of Virginia roommate of some 50 years earlier. Caplin, the commissioner of internal revenue under presidents Kennedy and Johnson, then saw the Guthrie production of the show in Minneapolis and decided it was time to become a Broadway producer.

Caplin and Osterman are general partners and producers of the production of "Execution of Justice" that opens next week on Broadway in the Virginia Theatre. Caplin said he had invested in a few plays in the past that were losers, but this was his first time as a producer. As for a losing play, Caplin said he didn't invest looking for a tax write-off. "You can't make any money looking for a write-off," the tax expert pointed out. "Write-offs do not a kingdom make." End Notes

Some $20 million has been raised and an architect has been hired to design the Richard Nixon Presidential Library to be located in San Clemente, Calif. Another $5 million is needed, organizers say, to complete the sprawling Spanish-style library in the seaside city that was the site of one of Nixon's vacation White Houses. Former treasury secretary William Simon, president of the Nixon Presidential Archives Foundation, said the structure "will be a world-class academic research facility, attracting scholars from every nation . . . and expected to draw as many as 1 million visitors annually." Construction is expected to begin in 1988 . . .

President Reagan, who made 53 films during his movie career, once again has said he isn't all that proud of the kind of pictures Hollywood is producing. In an interview with the Smithsonian News Service, Reagan said he liked movies best during the period when the code limited how long a kiss could take, outlawed profanity and saw to it that criminals always got their comeuppance in the end . . .